S(x) = 7x* – 1x* +2. | Use interval notation to indicate where f is continuous. Domain of continuity:

Q: Use interval notation to indicate where f(x)=x-7/(x-5)(x+5) is continuous.   "f" is continuous on…

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Q: Find the values of a and b that make f continuous everywhere. x2 4 if x 3 a = b =

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Q: What three conditions must be met for a function ƒ to be continuous at the point (a, b)?

A: Continuity at points: The points of continuity are the points where a function exist and has some…

Q: Examine if f(x) = ln(x2+2) is uniform continuous on the interval (-∞,∞)

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Q: Use interval notation to indicate where x2 – 1 - f(x) = x2 – 7x + 6 - is continuous. f is continuous…

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Q: im (x²-C² if X<4 1 f(x) = {(x+5 x²-c² (x + 5 if x = 4 lim

A: Given:-x2-c2   if x&lt;4cx+5    if  x≥4f(x) is continuous at x=4solution:-if f(x) is continuous at…

Q: g(x) = at x = 2 %3D x+2

A: Definition of continuous function helps to check whether the given function is continuous or not. A…

Q: B. Use the properties of continuity to determine where each function is continuous. 1. f(x) = 2x-x3…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: The limit as x goes to zero of x-1 exists.   True or False?

A: We need to say whether the given statement, “The limit as x goes to zero of x-1 exists.” is true or…

Q: Find intervals where f(x) = 2x3 - 18 x is increasing or decreasing. %3D Increasing Decreasing Done

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Q: List the x-values where the function is not continuous: f(x) = -x+ 3 if ex if if 3 – x x < - 3…

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Q: The function f(x,y) =26-2x²-y² is continuous at point (2, -3). .A True .B False

A: The objective is to determine whether the statement, " The function fx,y=26-2x2-y2 is continuous at…

Q: ( 2x -. Is g(x) continuous at 2?

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Q: Find the values of a and b that make f continuous everywhere. x2 - 4 if x < 2 X - 2 f(x) = if 2 < x…

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Q: Determine the whether the function is continuous at x=-2. Justify your answer 2x+7 if xS-2 using the…

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Q: Find where the function is continuous, but not differentiable..

A: Given,

Q: Find the number c which will make the function continuous on (-00, 00). x< 2 f(x) = x+ c, x22

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Q: use interval notation to indicate  where f(x)=x-7 divided by (x-2)(x+1) continuous  f is…

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Q: What points is the function y=|5x-1|+7sin(7x) continuous?

A: we have given function y=5x-1+7sin(7x) we know that  sin(ax) is continuous everywhere hence sin(7x)…

Q: What are the requirements for continuity function?

A: For a function fx to be continuous at x=c if it satisfy the following conditions: a) Function should…

Q: The function f(x,y)=/26-2x²-y² is continuous at point (2,-3). .A False .B True

A: A function is continuous at a point if after putting the point in the function yields a positive…

Q: x² – 16 f (x) = x( x 2(х — 1)°(х — 2) : о 1)8 (x – 2) : 0 - -

A: If the given function is equal at LHL and RHL at x=3 then the given function is continuous at x

Q: Left- and right-continuity a. Is hlx2 = Vx - 9 left-continuous at x = 3? Explain. b. Is h1x2 = Vx -…

A: To Determine: find left hand and right hand continuity at x=3 and explain this Given: we have a…

Q: where is the function f(x)= llxll-2 continuous (or discontinuous)?

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Q: Use the definition of continuity and the properties of limits to show that the function is…

A: A function is continuous in an interval if is continuous on every point of the interval. Now, a…

Q: Determine where the function f(x) is continuous. f(x) = /2-x

A: We have to determine where th function f(x)=(2-x)^(1/3) is continuous

Q: How would you define f(2) in order to make f continuous at 2? limx→2 x^3-8/x^2-4 show ALL of your…

A: Let's solve limit problem.

Q: Determine where the function F(x)=8x/x2+4 is continuous. The function is continuous on ?

A: Suppose   are continuous function at then rational function is continuous at   if .

Q: Use the definition of continuity to determine where f(x) is continuous. If it's discontinuous point,…

A: We will solve the problem

Q: Find the x-values at which f is differentiable. (Enter your answer using interval notation.)

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Q: How can you sometimes decide from examining ƒx and ƒy that a function ƒ(x, y) is differentiable?…

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Q: Use the definition for continuity to determine whether the function continuous at x= 1 and x= 2?

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Q: Find interval where f is decreasing

A: From the graph from t = 0 to t = 2   ;          f = 2 from t = 2  to t = 4   ;          f is…

Q: Use the definition of continuity and the properties oflimits to show that the function…

A: Consider the given function as fx=x16-x2

Q: Comment on the continuity of f(x) at x = -2, x = 0 and x = 3 If discontinuous, what is the type of…

A: At x=-2, L.H.L.=limx→-2-fx=2R.H.L.=limx→-2+fx=-1f-2=2 Since L.H.L.≠R.H.L., therefore the limit does…

Q: 2. Is the function f(x) =² continuous on the closed interval [-1, 1] ? Draw its graph illustrating…

A: Given problem:- Is the function ƒ(x) = 3/x continuous on the closed interval[−1, 1]? Draw its graph…

Q: f(x) = Vx – 3. Use interval notation to indicate where f is continuous. Domain of continuity:

A: We are given a function: f(x) = x-3 We need to write the interval of continuity  for f(x) This can…

Q: Analyze continuity of the function.

A: Before going to the continuity, we will be finding the domain of the given function. Note that the…

Q: Find a and b so that the function = { ax + b, 8x – 8x? + 4, ах + b, х -2 is both continuous and…

A: Continuity at x=-28-23-8-22+4=a-2+b-64-32+4=-2a+b-92=-2a+b→1

Q: Explain why f(x)=3x^2+1 is continuous at x=-2

A: Consider the function  f(x)=3x2+1

Q: Determine the intervals of concavity for the function f(x) = xex .

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Q: Find the intervals where f(x) = x -x is increasing

A: We use the first derivative test to find the intervals where the given function f(x) is increasing.

Q: Determine where f(x): V4 - x2 is continuous. Express the answer in interval notation.

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Q: x' - 8 24. f(x) : x? – 4

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Q: Determine the continuity of the function at the given points. forx =-1 %3D f(x = - 2, for x -1 at x…

A: If function f is continuous at x=a then limx→af(x)= f(a)

Q: Suppose fx) is continuous on the interval [0,10] and that f(x) = 0 only when x = 4. If f(5)< 0, what…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.